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Network epidemiology has become a vital tool in understanding the effects of high-degree vertices, geographic and demographic communities, and other inhomogeneities in social structure on the spread of disease. However, many networks…

Social and Information Networks · Computer Science 2021-01-29 Alexander Mercier

The Internet, as well as many other networks, has a very complex connectivity recently modeled by the class of scale-free networks. This feature, which appears to be very efficient for a communications network, favors at the same time the…

Statistical Mechanics · Physics 2009-10-31 Romualdo Pastor-Satorras , Alessandro Vespignani

Consider a fully connected network of nodes, some of which have a piece of data to be disseminated to the whole network. We analyze the following push-type epidemic algorithm: in each push round, every node that has the data, i.e., every…

Probability · Mathematics 2014-03-12 Mine Caglar , Ali Devin Sezer

Many networks are characterized by highly heterogeneous distributions of links, which are called scale-free networks and the degree distributions follow $p(k)\sim ck^{-\alpha}$. We study the robustness of scale-free networks to random…

Disordered Systems and Neural Networks · Physics 2009-11-11 Bing Wang , Huanwen Tang , Chonghui Guo , Zhilong Xiu

Millions of young people are not immunized in low- and middle-income (LMI) countries because of low vaccine availability resulting from inefficiencies in cold supply chains. We create supply chain network design and distribution models to…

Applications · Statistics 2020-06-11 Zahra Azadi , Sandra D. Eksioglu , H. Neil Geismar

The spread of new ideas, behaviors or technologies has been extensively studied using epidemic models. Here we consider a model of diffusion where the individuals' behavior is the result of a strategic choice. We study a simple coordination…

Probability · Mathematics 2015-03-17 Marc Lelarge

Epidemic outbreaks pose significant challenges to public health and socio-economic stability, necessitating a comprehensive understanding of disease transmission dynamics and effective control strategies. This article discusses the…

Physics and Society · Physics 2023-10-20 Sourin Chatterjee , Ahad N. Zehmakan , Sujay Rastogi

We study the extinction of long-lived epidemics on finite complex networks induced by intrinsic noise. Applying analytical techniques to the stochastic Susceptible-Infected-Susceptible model, we predict the distribution of large…

Physics and Society · Physics 2017-05-31 Jason Hindes , Ira B. Schwartz

Influence Maximization (IM) seeks to identify a small set of seed nodes in a social network to maximize expected information spread under a diffusion model. While community-based approaches improve scalability by exploiting modular…

Social and Information Networks · Computer Science 2026-02-03 Eliot W. Robson , Abhishek K. Umrawal

We consider here information spread which propagates with certain probability from nodes just activated to their not yet activated neighbors. Diffusion cascades can be triggered by activation of even a small set of nodes. Such activation is…

Social and Information Networks · Computer Science 2018-09-20 Jaroslaw Jankowski , Boleslaw K. Szymanski , Przemyslaw Kazienko , Radoslaw Michalski , Piotr Brodka

We study decentralized protection strategies against Susceptible-Infected-Susceptible (SIS) epidemics on networks. We consider a population game framework where nodes choose whether or not to vaccinate themselves, and the epidemic risk is…

Computer Science and Game Theory · Computer Science 2019-03-05 Ashish R. Hota , Shreyas Sundaram

A network growth mechanism based on a two-step preferential rule is investigated as a model of network growth in which no global knowledge of the network is required. In the first filtering step a subset of fixed size $m$ of existing nodes…

Disordered Systems and Neural Networks · Physics 2009-11-10 Hrvoje Stefancic , Vinko Zlatic

Vaccination is an effective way to prevent and control the occurrence and epidemic of infectious diseases. However, many factors influence whether the residents decide to get vaccinated or not, such as the efficacy and side effects while…

Physics and Society · Physics 2022-03-09 Yingyue Ke , Jin Zhou

Effective vaccine prioritization is critical for epidemic control, yet real outbreaks exhibit memory effects that inflate state space and make long-term prediction and optimization challenging. As a result, many strategies are tuned to…

Biological Physics · Physics 2025-11-11 Mi Feng , Liang Tian , Changsong Zhou

We study a game-theoretic model of epidemic control in a large population with finitely many groups and non-cooperative individuals. In the model, individuals jointly choose their socialization levels and vaccination rates, and vaccination…

Optimization and Control · Mathematics 2026-04-28 Huaning Liu , Gokce Dayanikli

Network-based epidemic models have been extensively employed to understand the spread of infectious diseases, but have generally overlooked the fact that most realistic networks are dynamical rather than static. In this paper, we study a…

Physics and Society · Physics 2019-02-19 Xiao-Long Peng , Ze-Qiong Zhang , Junyuan Yang , Zhen Jin

Pandemic distribution of COVID-19 in the world has motivated us to discuss combined effects of network clustering and adaptivity on epidemic spreading. We address the question concerning the choice of optimal mechanism for most effective…

Physics and Society · Physics 2020-07-15 O. Valba , V. Avetisov , A. Gorsky , S. Nechaev

Modeling the spread of infections on networks is a well-studied and important field of research. Most infection and diffusion models require a real value or probability on the edges of the network as an input, but this is rarely available…

Social and Information Networks · Computer Science 2017-06-26 Andras Bota , Lauren Gardner

We consider the problem of controlling the spread of harmful items in networks, such as the contagion proliferation of diseases or the diffusion of fake news. We assume the linear threshold model of diffusion where each node has a threshold…

Computational Complexity · Computer Science 2021-02-09 Gennaro Cordasco , Luisa Gargano , Adele Anna Rescigno

The Covid-19 pandemic revealed the difficulties of vaccinating a population under the circumstances marked by urgency and limited availability of doses while balancing benefits associated with distinct guidelines satisfying specific ethical…

Quantitative Methods · Quantitative Biology 2023-06-08 Pedro Ribeiro de Almeida , Vitor Hirata Sanches , Carla Goldman
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